# Anyonic Molecules in Atomic Fractional Quantum Hall Liquids: A Quantitative Probe of Fractional Charge and Anyonic Statistics

@article{MuozdelasHeras2020AnyonicMI, title={Anyonic Molecules in Atomic Fractional Quantum Hall Liquids: A Quantitative Probe of Fractional Charge and Anyonic Statistics}, author={A. Mu{\~n}oz de las Heras and E. Macaluso and Iacopo Carusotto}, journal={Physical Review X}, year={2020} }

We study the quantum dynamics of massive impurities embedded in a strongly interacting two-dimensional atomic gas driven into the fractional quantum Hall (FQH) regime under the effect of a synthetic magnetic field. For suitable values of the atom-impurity interaction strength, each impurity can capture one or more quasi-hole excitations of the FQH liquid, forming a bound molecular state with novel physical properties. An effective Hamiltonian for such molecules is derived within the Born… Expand

#### Supplemental Presentations

#### Paper Mentions

#### One Citation

Quantized transport of solitons in nonlinear Thouless pumps: From Wannier drags to topological polarons

- Physics
- 2021

N. Mostaan, 2, 3, ∗ F. Grusdt, 2 and N. Goldman † Department of Physics and Arnold Sommerfeld Center for Theoretical Physics (ASC), Ludwig-Maximilians-Universität München, Theresienstr. 37, D-80333… Expand

#### References

SHOWING 1-10 OF 133 REFERENCES

Anyonic statistics of quantum impurities in two dimensions

- Physics
- Physical Review B
- 2018

We demonstrate that identical impurities immersed in a two-dimensional many-particle bath can be viewed as flux-tube-charged-particle composites described by fractional statistics. In particular, we… Expand

Observation of Attractive and Repulsive Polarons in a Bose-Einstein Condensate.

- Physics, Medicine
- Physical review letters
- 2016

Radio frequency spectroscopy of ultracold bosonic ^{39}K atoms is used to experimentally demonstrate the existence of a well-defined quasiparticle state of an impurity interacting with a BEC, and finds excellent agreement with theories that incorporate three-body correlations, both in the weak-coupling limits and across unitarity. Expand

Colloquium: Artificial gauge potentials for neutral atoms

- Physics
- 2011

When a neutral atom moves in a properly designed laser field, its center-of-mass motion may mimic the dynamics of a charged particle in a magnetic field, with the emergence of a Lorentz-like force.… Expand

Transport of Neutral Optical Excitations Using Electric Fields

- Physics
- Physical Review X
- 2019

Mobile quantum impurities interacting with a fermionic bath form quasiparticles known as Fermi polarons. We demonstrate that a force applied to the bath particles can generate a drag force of similar… Expand

Fractional angular momentum in cold-atom systems.

- Physics, Medicine
- Physical review letters
- 2014

It is proposed that the fractionalization of the angular momentum can be detected directly through the measurement of the pair correlation function in rotating ultracold atomic systems in the fractionsal quantum Hall regime. Expand

Fractional quantum Hall states of atoms in optical lattices.

- Physics, Medicine
- Physical review letters
- 2005

The dynamics of the atoms in the lattice is analogous to the motion of a charged particle in a magnetic field if an oscillating quadrupole potential is applied together with a periodic modulation of the tunneling between lattice sites. Expand

Ring-shaped fractional quantum Hall liquids with hard-wall potentials

- Physics
- Physical Review A
- 2018

We study the physics of $\ensuremath{\nu}=1/2$ bosonic fractional quantum Hall droplets confined in a ring-shaped region delimited by two concentric cylindrically symmetric hard-wall potentials.… Expand

Plasma analogy and non-Abelian statistics for Ising-type quantum Hall states

- Physics
- 2011

We study the non-Abelian statistics of quasiparticles in the Ising-type quantum Hall states which are likely candidates to explain the observed Hall conductivity plateaus in the second Landau level,… Expand

Coherent generation of photonic fractional quantum Hall states in a cavity and the search for anyonic quasiparticles

- Physics
- 2018

We present and analyze a protocol in which polaritons in a noncoplanar optical cavity form fractional quantum Hall states. We model the formation of these states and present techniques for… Expand

Interferometric measurements of many-body topological invariants using mobile impurities

- Physics, Medicine
- Nature communications
- 2016

It is shown how fractional charges can be probed in the bulk of fractional quantum Hall systems, and it is demonstrated that combining Ramsey interference with Bloch oscillations can be used to measure Chern numbers characterizing the dispersion of individual quasiparticles, which gives a direct probe of their fractionalCharges. Expand